428431423374708000
428,431,423,374,708,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428431423374708000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
428431423374708000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 428431423374708000:
25 × 3 × 53 × 134 × 127 × 1061 × 9277
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 127 × 1061 × 9277)See below for interesting mathematical facts about the number 428431423374708000 from the Numbermatics database.
Names of 428431423374708000
- Cardinal: 428431423374708000 can be written as Four hundred twenty-eight quadrillion, four hundred thirty-one trillion, four hundred twenty-three billion, three hundred seventy-four million, seven hundred eight thousand.
Scientific notation
- Scientific notation: 4.28431423374708 × 1017
Factors of 428431423374708000
Divisors of 428431423374708000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 125 127 130 150 156 160 169 195 200 208 240 250 254 260 300 312 325 338 375 381 390 400 416 480 500 507 508 520 600 624 635 650 676 750 762 780 800 845 975 1000 1014 1016 1040 1061 1200 1248 1270 1300 1352 1500 1524 1560 1625 1651 1690 1905 1950 2000 2028 2032 2080 2122 2197 2400 2535 2540 2600 2704 3000 3048 3120 3175 3183 3250 3302 3380 3810 3900 4000 4056 4064 4225 4244 4394 4875 4953 5070 5080 5200 5305 5408 6000 6096 6240 6350 6366 6500 6591 6604 6760 7620 7800 8112 8255 8450 8488 8788 9277 9525 9750 9906 10140 10160 10400 10610 10985 12000 12192 12675 12700 12732 13000 13182 13208 13520 13793 15240 15600 15875 15915 16224 16510 16900 16976 17576 18554 19050 19500 19812 20280 20320 21125 21220 21463 21970 24765 25350 25400 25464 26000 26364 26416 26525 27040 27586 27831 28561 30480 31200 31750 31830 32955 33020 33800 33952 35152 37108 38100 39000 39624 40560 41275 41379 42250 42440 42926 43940 46385 47625 49530 50700 50800 50928 52000 52728 52832 53050 54925 55172 55662 57122 60960 63375 63500 63660 64389 65910 66040 67600 68965 70304 74216 76200 78000 79248 79575 81120 82550 82758 84500 84880 85683 85852 87880 92770 95250 99060 101400 101600 101856 105456 106100 107315 109850 110344 111324 114244 120601 123825 126750 127000 127320 128778 131820 132080 132625 134747 135200 137930 139155 142805 148432 152400 156000 158496 159150 164775 165100 165516 169000 169760 171366 171704 175760 179309 185540 190500 198120 202800 206375 206895 210912 212200 214630 219700 220688 222648 228488 231925 241202 247650 253500 254000 254640 257556 263640 264160 265250 269494 274625 275860 278310 279019 285610 296864 304800 318300 321945 329550 330200 331032 338000 342732 343408 344825 351520 358618 361803 371080 381000 396240 397875 404241 405600 412750 413790 424400 428415 429260 439400 441376 445296 456976 463850 482404 495300 507000 508000 509280 515112 527280 530500 536575 537927 538988 549250 551720 556620 558038 571220 603005 619125 636600 643890 659100 660400 662064 673735 676000 685464 686816 689650 695775 714025 717236 723606 742160 762000 792480 795750 808482 823875 825500 827580 837057 848800 856830 858520 878800 890592 896545 913952 927700 964808 990600 1014000 1030224 1034475 1054560 1061000 1073150 1075854 1077976 1098500 1103440 1113240 1116076 1142440 1159625 1178179 1206010 1238250 1273200 1287780 1318200 1320800 1324128 1347470 1370928 1379300 1391550 1395095 1428050 1434472 1447212 1484320 1524000 1567813 1591500 1609725 1616964 1647750 1651000 1655160 1674114 1713660 1717040 1724125 1751711 1757600 1793090 1809015 1855400 1929616 1981200 2021205 2028000 2060448 2068950 2122000 2142075 2146300 2151708 2155952 2197000 2206880 2226480 2232152 2284880 2319250 2331017 2356358 2412020 2476500 2546400 2575560 2636400 2682875 2689635 2694940 2741856 2758600 2783100 2790190 2856100 2868944 2894424 3015025 3135626 3183000 3219450 3233928 3295500 3302000 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107107855843677 109854211121720 112449192486800 126754858986600 129749068254000 131825053346064 134599881676000 134939030984160 137317763902150 140561490608500 142810474458236 158443573733250 164781316682580 168673788730200 169006478648800 178513093072795 195007475364000 201899822514000 205976645853225 210842235912750 211258098311000 214215711687354 219708422243440 224898384973600 253509717973200 259498136508000 263650106692128 274635527804300 281122981217000 285620948916472 316887147466500 329562633365160 337347577460400 343294409755375 357026186145590 403799645028000 411953291706450 421684471825500 422516196622000 428431423374708 439416844486880 507019435946400 535539279218385 549271055608600 562245962434000 571241897832944 633774294933000 659125266730320 674695154920800 686588819510750 714052372291180 823906583412900 843368943651000 845032393244000 856862846749416 892565465363975 1029883229266125 1071078558436770 1098542111217200 1124491924868000 1142483795665888 1267548589866000 1318250533460640 1373177639021500 1428104744582360 1647813166825800 1686737887302000 1713725693498832 1785130930727950 2059766458532250 2142157116873540 2197084222434400 2535097179732000 2677696396091925 2746355278043000 2856209489164720 3295626333651600 3373475774604000 3427451386997664 3570261861455900 4119532917064500 4284314233747080 4462827326819875 5355392792183850 5492710556086000 5712418978329440 6591252667303200 7140523722911800 8239065834129000 8568628467494160 8925654653639750 10710785584367700 10985421112172000 13388481980459625 14281047445823600 16478131668258000 17137256934988320 17851309307279500 21421571168735400 26776963960919250 28562094891647200 32956263336516000 35702618614559000 42843142337470800 53553927921838500 71405237229118000 85686284674941600 107107855843677000 142810474458236000 214215711687354000 428431423374708000
- Sum of all divisors σ(n): 1534081170968027136
- Sum of proper divisors (its aliquot sum) s(n): 1105649747593319136
- 428431423374708000 is an abundant number, because the sum of its proper divisors (1105649747593319136) is greater than itself. Its abundance is 677218324218611136
Bases of 428431423374708000
- Binary: 101111100100001100000011100000100001101110101001101001000002
- Hexadecimal: 0x5F2181C10DD4D20
- Base-36: 396I9IS9R5EO
Squares and roots of 428431423374708000
- 428431423374708000 squared (4284314233747080002) is 183553484534878292439374085264000000
- 428431423374708000 cubed (4284314233747080003) is 78640080644665359044706355782351835413102912000000000
-
The
square root of 428431423374708000 is 654546731.2382730095 -
The
cube root of 428431423374708000 is 753865.3326409501
Scales and comparisons
How big is 428431423374708000?- 428,431,423,374,708,000 seconds is equal to 13,622,794,037 years, 47 weeks, 2 days, 20 hours, 40 minutes.
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To count from 1 to 428,431,423,374,708,000 would take you about forty billion, eight hundred sixty-eight million, three hundred eighty-two thousand, one hundred thirteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 428431423374708000 cubic inches would be around 62822.1 feet tall.
Recreational maths with 428431423374708000
- 428431423374708000 backwards is 000807473324134824
- 428431423374708000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428431423374708000's digits is 60
- More coming soon!
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The information we have on file for 428431423374708000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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